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I am trying to solve the following differential equation using the variational iteration method:

u''+u=A/((1-u)^2) with initial conditions, u(0)=u'(0)=0.

My ultimate aim is to obtain the relation between A and w (i.e. omega).

A is a Heaviside step function i.e. A(t)=A*H(t).

Can anybody help me out in the process of applying Variational Iteration Method to this problem.

Thanks.

Manish